Question

hey i need help on problem

3 points are chosen at random along the square's outline. They then combine to form a triangle.
a: What is the probability that the centre of the square will be 'engulfed' by this triangle?

Answer 1

"The sign of a good maths puzzle is one where you haven't a
clue where to begin searching for a solution - one which at first sight looks a
nightmare, and with which a further look drives one to despair"

Answer 2

1) 100% this is a sqaure hence all sides are even thus any diaginal will go though the center of the square

Answer 3

can be proven be defining a square of lengh n with the coordinates (0,0) (0,n) (n,0) and (n,n) and your midpoint is (n/2,n/2) and one can define the only 2 lines going through a square and show they both pass though that coordiante